Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening III: Optimality Conditions
Gerd Wachsmuth
Technische Universität Chemnitz, Germany
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Abstract
In this paper we consider an optimal control problem governed by a rate-independent variational inequality arising in quasistatic plasticity with linear kinematic hardening. Since the solution operator of a variational inequality is not differentiable, the Karush-Kuhn-Tucker system is not a necessary optimality condition. We show a system of weakly stationary type by passing to the limit with the optimality system of a regularized and time-discretized problem.
Cite this article
Gerd Wachsmuth, Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening III: Optimality Conditions. Z. Anal. Anwend. 35 (2016), no. 1, pp. 81–118
DOI 10.4171/ZAA/1556